The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel is 7740º. What is the maximum number of people that the Ferris wheel can hold?

Question

anonymous · Answer

The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel is 7740º. What is the maximum number of people that the Ferris wheel can hold?

anonymous · Answer

Assuming that the Ferris wheel is an n-sided polygon, then the sum of all the interior angles of any polygon is 180(n-2) where n = # of sides.

Since the sum total of all the angles is 7,740 degrees, set
180(n - 2) = 7740 and you will solve for n, the number of sides in the polygon.

Once you know the number of sides, n, then each vertex holds 5 people, so it will be 5 times n.